Computing sharp recovery structures for Locally Recoverable codes

Irene Marquez-Corbella; Edgar Martinez-Moro; Carlos Munuera

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arXiv · 1907.05316

Computing sharp recovery structures for Locally Recoverable codes

Irene Marquez-Corbella·Edgar Martinez-Moro·Carlos Munuera

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Abstract

A locally recoverable code is an error-correcting code such that any erasure in a single coordinate of a codeword can be recovered from a small subset of other coordinates. In this article we develop an algorithm that computes a recovery structure as concise posible for an arbitrary linear code $\mathcal{C}$ and a recovery method that realizes it. This algorithm also provides the locality and the dual distance of $\mathcal{C}$. Complexity issues are studied as well. Several examples are included.

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Irene Marquez-Corbella, Edgar Martinez-Moro, Carlos Munuera. 2019-07-11. Computing sharp recovery structures for Locally Recoverable codes. https://arxiv.org/abs/1907.05316

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